What is log_{2}((x^3+2)sqrt((x-8)^3)) ?

The solution to log_{2}((x^3+2)sqrt((x-8)^3)) is log_{2}(x^3+2)+log_{2}(sqrt((x-8)^2)sqrt(x-8))

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simplify log_{2}((x^3+2)sqrt((x-8)^3))

simplify

lo g_{2} ((x^{3} + 2) (x - 8)^{3})

lo g_{2} (x^{3} + 2) + lo g_{2} ((x - 8)^{2} x - 8)

Solution steps

lo g_{2} ((x^{3} + 2) (x - 8)^{3})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{2} ((x^{3} + 2) (x - 8)^{3}) = lo g_{2} (x^{3} + 2) + lo g_{2} ((x - 8)^{3})

= lo g_{2} (x^{3} + 2) + lo g_{2} ((x - 8)^{3})

(x - 8)^{3} = (x - 8)^{2} x - 8

= lo g_{2} (x^{3} + 2) + lo g_{2} ((x - 8)^{2} x - 8)

ln (\frac{n ^{2} + 1}{2 n ^{2} + 1})

ln (8) + ln (10) - ln (14) - ln (4)

ln (\frac{20}{5})

0.026 ln (0.095 \cdot 1 0^{16})

lo g_{2} (- x) + lo g_{2} (1 - x) - 1

What is log_{2}((x^3+2)sqrt((x-8)^3)) ?
The solution to log_{2}((x^3+2)sqrt((x-8)^3)) is log_{2}(x^3+2)+log_{2}(sqrt((x-8)^2)sqrt(x-8))